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110400121341020 = 22573893181637277
BaseRepresentation
bin11001000110100010001000…
…000001000000010001011100
3112110220011000021102220200202
4121012202020001000101130
5103432243422030403040
61030445040544443032
732153100632015510
oct3106421001002134
9473804007386622
10110400121341020
11321a447940a925
1210470349319478
13497a8c0ab5c04
141d3957428c140
15cb6b61ac9015
hex64688804045c

110400121341020 has 96 divisors (see below), whose sum is σ = 265725348819840. Its totient is φ = 37742237752320.

The previous prime is 110400121340969. The next prime is 110400121341023. The reversal of 110400121341020 is 20143121004011.

It is a super-2 number, since 2×1104001213410202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 110400121340983 and 110400121341001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110400121341023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172918622 + ... + 173555898.

It is an arithmetic number, because the mean of its divisors is an integer number (2767972383540).

Almost surely, 2110400121341020 is an apocalyptic number.

110400121341020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110400121341020 is an abundant number, since it is smaller than the sum of its proper divisors (155325227478820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110400121341020 is a wasteful number, since it uses less digits than its factorization.

110400121341020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640863 (or 640861 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 110400121341020 its reverse (20143121004011), we get a palindrome (130543242345031).

The spelling of 110400121341020 in words is "one hundred ten trillion, four hundred billion, one hundred twenty-one million, three hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 389 778 1556 1945 2723 3181 3890 5446 6362 7780 10892 12724 13615 15905 22267 27230 31810 44534 54460 63620 89068 111335 222670 445340 637277 1237409 1274554 2474818 2549108 3186385 4460939 4949636 6187045 6372770 8661863 8921878 12374090 12745540 17323726 17843756 22304695 24748180 34647452 43309315 44609390 86618630 89218780 173237260 247900753 495801506 991603012 1239503765 1735305271 2027178137 2479007530 3470610542 4054356274 4958015060 6941221084 8108712548 8676526355 10135890685 14190246959 17353052710 20271781370 28380493918 34706105420 40543562740 56760987836 70951234795 141902469590 283804939180 788572295293 1577144590586 3154289181172 3942861476465 5520006067051 7885722952930 11040012134102 15771445905860 22080024268204 27600030335255 55200060670510 110400121341020